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3 years ago

-7/6 or -11/15which is the greatest?

Mathematics

2 answers:

Lelechka [254]3 years ago

6 0

Answer:

-11/15 is the greatest because ita in negative

Ray Of Light [21]3 years ago

6 0

Answer:

-11/15 is > -7/6

Step-by-step explanation:

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Find the common ratio for the following geometric sequence. 0.75,1.5,3,6,...

Rasek [7]

Answer:

Step-by-step explanation:

$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...\ ,\ a_n\ \text{is a geometric series, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant$

$\text{We have}\ 0.75,\ 1.5,\ 3,\ 6,\ ...\\\\\text{The common ratio}\ r:\\\\\dfrac{1.5}{0.75}=2\\\\\dfrac{3}{1.5}=2\\\\\dfrac{6}{3}=2\\\\\boxed{r=2}$

4 0

3 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

Which graph shows dilation?

Evgesh-ka [11]

Answer:

The First Image

Step-by-step explanation:

A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.

5 0

3 years ago

Read 2 more answers

When five is added to three more than a certain the result is 19 what is the number?

gulaghasi [49]

Answer: It should be 11

Step-by-step explanation:

11 + 3 = 14 14 is three more than 11 and when you add 5 you get 19

8 0

3 years ago

What is the name given for genetic changes in living things over time?

Marta_Voda [28]

In my opinion, the best answer among the choices listed above is option C. Evolution is the name given for genetic changes in living things over time. It is the change in the traits of organisms over successive generations. Hope this answers the question.

6 0

3 years ago

-7/6 or -11/15which is the greatest?​

-7/6 or -11/15which is the greatest?